Question

a fair die is rolled once. what is the sample space for the event of rolling an even number? a {2, 4, 6} b {1, 2, 3, 4, 5, 6} c {2, 4} d {2}

Explanation:

Step1: Define an even - numbered outcome

An even number on a die is 2, 4, or 6.

Step2: Determine the sample space

The sample space for the event of rolling an even number on a fair die is the set of all possible even - numbered outcomes. So the sample space is $\{2,4,6\}$.

Answer:

A. $\{2,4,6\}$